351480960 has 192 divisors, whose sum is σ = 1225224000. Its totient is φ = 92841984.

The previous prime is 351480959. The next prime is 351480971. The reversal of 351480960 is 69084153.

351480960 is a `hidden beast` number, since 3 + 514 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800421 + ... + 800859.

It is an arithmetic number, because the mean of its divisors is an integer number (6381375).

Almost surely, 2^351480960 is an apocalyptic number.

351480960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612612000).

351480960 is an abundant number, since it is smaller than the sum of its proper divisors (873743040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351480960 is a wasteful number, since it uses less digits than its factorization.

351480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 351480960 is about 18747.8254739050. The cubic root of 351480960 is about 705.7224524086.

The spelling of 351480960 in words is "three hundred fifty-one million, four hundred eighty thousand, nine hundred sixty".